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57377441156 = 227191794611307
BaseRepresentation
bin110101011011111101…
…100100010110000100
312111002201210000100012
4311123331210112010
51420002111104111
642205301405352
74100603126360
oct653375442604
9174081700305
1057377441156
1122374084862
12b153709858
135545319219
142ac445c2a0
15175c3b848b
hexd5bf64584

57377441156 has 96 divisors (see below), whose sum is σ = 121826073600. Its totient is φ = 23098020480.

The previous prime is 57377441131. The next prime is 57377441159. The reversal of 57377441156 is 65114477375.

It is a super-2 number, since 2×573774411562 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57377441159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43899455 + ... + 43900761.

It is an arithmetic number, because the mean of its divisors is an integer number (1269021600).

Almost surely, 257377441156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57377441156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60913036800).

57377441156 is an abundant number, since it is smaller than the sum of its proper divisors (64448632444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57377441156 is a wasteful number, since it uses less digits than its factorization.

57377441156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1975 counting only the distinct ones).

The product of its digits is 2469600, while the sum is 50.

The spelling of 57377441156 in words is "fifty-seven billion, three hundred seventy-seven million, four hundred forty-one thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 179 266 358 461 532 716 922 1253 1307 1844 2506 2614 3227 3401 5012 5228 6454 6802 8759 9149 12908 13604 17518 18298 23807 24833 35036 36596 47614 49666 61313 82519 95228 99332 122626 165038 173831 233953 245252 330076 347662 467906 577633 602527 695324 935812 1155266 1205054 1567861 1637671 2310532 2410108 3135722 3275342 4217689 4445107 6271444 6550684 8435378 8890214 10975027 11448013 16870756 17780428 21950054 22896026 31115749 43900108 45792052 62231498 80136091 107852333 124462996 160272182 215704666 320544364 431409332 754966331 1509932662 2049194327 3019865324 4098388654 8196777308 14344360289 28688720578 57377441156